please help me
a piece of wire is 28cm in length is cut into two parts, each part bend to make a square. given that area of square is 416m^2. find the perimeter of each square.

Answers

Answer 1

Answer:

25.488 cm and 2.512 cm

Step-by-step explanation:

Note: the area of squares is 41 cm² but not 416 m², typo

Let the sides of squares be x and y

Based on given we have equations:

4x + 4y = 28x² + y² = 41

Simplify the first equation

4x + 4y = 28x + y = 7x = 7 - y

Substitute x to solve for y:

(7 - y)² + y² = 4149 - 14y + y² + y² = 412y² - 14y + 49 - 41 = 02y² - 14y + 8 = 0y² -7y + 4 =0

Solving we get:

y= 6.372 cm or y= 0.628cm

Then

x = 0.628 cm or x = 6.372 cm

Perimeter of each square is:

4*6.372 = 25.488 cm

and

4*0.628 = 2.512 cm


Related Questions

Gabriela has dinner at a cafe and the cost of her meal is \$45.00$45.00dollar sign, 45, point, 00. Because of the service, she wants to leave a 15\%15%15, percent tip.What is her total bill including tip?

Answers

Answer:

$51.75

Step-by-step explanation:

The meal cost $45. $45 is 100% of the cost. She wants to leave a 15% tip, so add 15% to 100%.

15% + 100% = 115%

She will pay 115% of $45.

115% of $45 = 1.15 * $45 = $51.75

A flower bed has the shape of a rectangle 7 yards long and 4 yards wide. What is it’s area in square feet

Answers

Answer: 252 square feet

Step-by-step explanation:

lets remember that 1 yard= 3 feet

7 yards= 7*3=21 feet

4 yards= 4*3=12 feet

we know that area of a rectangle= LxW

21 x 12= 252 square feet

Which expression is equal to 2xx−2−x+3x+5?

Answers

Answer:

It's the fourth one

Following are the solution to the given expression:

Given:

[tex]\bold{\frac{2x}{x-2}- \frac{x+3}{x+5}}[/tex]

To find:

Expression =?

Solution:

[tex]\to \bold{\frac{2x}{x-2}- \frac{x+3}{x+5}}\\\\\to \bold{\frac{2x(x+5) -(x+3) (x-2)}{(x-2)(x+5)}}\\\\\to \bold{\frac{2x^2+10x -(x^2 -2x+ 3x-6)}{(x-2)(x+5)}}\\\\\to \bold{\frac{2x^2+10x -(x^2 +x-6)}{(x-2)(x+5)}}\\\\\to \bold{\frac{2x^2+10x -x^2 -x+6)}{(x-2)(x+5)}}\\\\\to \bold{\frac{x^2+9x+6}{(x-2)(x+5)}}\\\\[/tex]

Therefore, the answer is "last choice".

Learn more:

brainly.com/question/17079155

simplify the fraction 2/6

Answers

1/3 :) sjsjsjsndksnsnxnndnfdnsnsnsn

2/6

Reducing is another word simplify

Divide by 2 for the numerator and denominator

2/2= 1

2/6= 3

Answer : 1/3

evaluate the following given f(x)=3x-7 find x when f(x)=17

Answers

Answer:

When f(x) equals 17, x is equal to 8.

Step-by-step explanation:

[tex]f(x) = 3x - 7\\17 = 3x - 7\\3x = 17 + 7\\3x = 24\\x = 24/3\\x = 8[/tex]

Solve for x. Enter the solutions from least to greatest.
(x + 7)^2 - 49 = 0

Answers

Answer:

x = -14, 0

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDASEquality Properties

Algebra I

Completing the SquareMultiple Roots/Solutions

Step-by-step explanation:

Step 1: Define

(x + 7)² - 49 = 0

Step 2: Solve for x

Add 49 to both sides:                    (x + 7)² = 49Square root both sides:                 x + 7 = ±7Subtract 7 on both sides:               x = -7 ± 7Evaluate:                                         x = -14, 0

Step 3: Check

Plug in x values into original equation to verify they are a solution.

x = -14

Substitute in x:                    (-14 + 7)² - 49 = 0Add:                                     (-7)² - 49 = 0Exponents:                          49 - 49 = 0Subtract:                              0 = 0

Here we see that 0 does indeed equal 0.

∴ x = -14 is a solution of the equation

x = 0

Substitute in x:                    (0 + 7)² - 49 = 0Add:                                     7² - 49 = 0Exponents:                          49 - 49 = 0Subtract:                              0 = 0

Here we see that 0 does indeed equal 0.

∴ x = 0 is also a solution of the equation.

Answer:

Lesser x=-14 Greater x=0

Step-by-step explanation:

x+7)  

2

−49

(x+7)  

2

 

(x+7)  

2

 

​  

 

​  

 

=0

=49

=  

49

​  

 

​  

 

Hint #22 / 3

\begin{aligned} x+7&=\pm7 \\\\ x&=\pm7-7 \\ \phantom{(x + 7)^2 - 49}& \\ x=-14&\text{ or }x=0 \end{aligned}  

x+7

x

(x+7)  

2

−49

x=−14

​  

 

=±7

=±7−7

or x=0

​  

quiz 4-1 : classifying and solving for sides/angles in triangles gina wilson (all things algebra) URGENT

Answers

Answer:

14.

[tex]x = 11[/tex]  [tex]m<B = 108[/tex]   [tex]m<C= 36[/tex]   [tex]m<D = 36[/tex]

15.

[tex]x = 4[/tex]     [tex]WX = 25[/tex]     [tex]XY = 17[/tex]     [tex]WY = 25[/tex]

Step-by-step explanation:

Solving (14):

[tex]BC = BD[/tex]

[tex]m<B = 13x - 35[/tex]

[tex]m<C = 5x - 19[/tex]

[tex]m<D = 2x + 14[/tex]

First, we solve for x.

Since sides [tex]BC = BD[/tex], then

[tex]m<C = m<D[/tex]

This is so because the theorem of ASA (Angle-Side-Angle)

So, we have:

[tex]5x - 19 = 2x + 14[/tex]

Collect Like Terms

[tex]5x - 2x = 19 + 14[/tex]

[tex]3x = 33[/tex]

Divide both sides by 3

[tex]x = 11[/tex]

Solving for m<B, m<C and m<D.

We simply substitute 11 for x in their respective expressions.

[tex]m<B = 13x - 35[/tex]

[tex]m<B = 13*11 - 35[/tex]

[tex]m<B = 143 - 35[/tex]

[tex]m<B = 108[/tex]

[tex]m<C = 5x - 19[/tex]

[tex]m<C= 5*11 - 19[/tex]

[tex]m<C= 55 - 19[/tex]

[tex]m<C= 36[/tex]

[tex]m<D = 2x + 14[/tex]

[tex]m<D = 2*11 + 14[/tex]

[tex]m<D = 22 + 14[/tex]

[tex]m<D = 36[/tex]

Solving (15):

[tex]<X = <Y[/tex]

[tex]WX = 9x - 11[/tex]

[tex]XY = 4x + 1[/tex]

[tex]WY = 7x - 3[/tex]

First, we solve for x.

Since [tex]<X = <Y[/tex], then

[tex]WX = WY[/tex]

This is so because the theorem of SAS (Side-Angle-Side)

So, we have:

[tex]9x - 11 = 7x - 3[/tex]

Collect Like Terms

[tex]9x - 7x = 11-3[/tex]

[tex]2x = 8[/tex]

Divide both sides by 2

[tex]x = 4[/tex]

Solving for WX, WY and XY

We simply substitute 4 for x in their respective expressions.

[tex]WX = 9x - 11[/tex]

[tex]WX = 9 * 4 - 11[/tex]

[tex]WX = 36 - 11[/tex]

[tex]WX = 25[/tex]

[tex]XY = 4x + 1[/tex]

[tex]XY = 4 * 4 + 1[/tex]

[tex]XY = 16 + 1[/tex]

[tex]XY = 17[/tex]

[tex]WY = 7x - 3[/tex]

[tex]WY = 7 * 4 - 3[/tex]

[tex]WY = 28 - 3[/tex]

[tex]WY = 25[/tex]

Solve the following to find the quotient, 6.42 ÷ 3 =

Answers

Answer:

2.14

Step-by-step explanation:

Answer:

2.14

Step-by-step explanation:

hope this helps

Plz mark brainliest :)

Help mehhhhhh please!!!!!!!!!!!!

Answers

The answer is A.multiply 3 * 6 and 3.6 * 5 and see if cross products are equivalent

A sports equipment store rents road bikes for $23 an hour.
Over the summer, these bikes were rented for a total of
1,080 hours. How much money did the store make renting bikes?

Answers

Answer:

$24,840

Step-by-step explanation:

Please mark brainliest.

y + 2 = -3(x - 4). What is the slope?

Answers

Answer:

m=-3

Step-by-step explanation:

100 points. Function fis a quadratic function passing through the points (-4,0), (0, -12) Function gis modeled by the graph.​

Answers

Answer:

Open points on 1 and 3 with ray connecting.

Step-by-step explanation:

Because it's right.

From the graph of the function |(f)| and |(g)|, the interval at which both functions are negative are 1 and 3.

What is a quadratic function?

A quadratic function can be defined as a mathematical expression that can be used to define and represent the relationship that exists between two or more variable on a graph.

In Mathematics, the graph of a quadratic function is parabolic because it is u-shaped. From the graph of the function |(f)| and |(g)|, we can deduce that the interval at which both functions are negative are 1 and 3 as shown in the image attached below.

Read more on functions here: https://brainly.com/question/4246058

#SPJ2

Can someone answer this and tell me how to find it?[tex]x^{2} -x+6/x-3[/tex]

Answers

Answer:

go to symbolab

it gives steps and answers. Its also free

Step-by-step explanation:

can you Evaluate 2. pls anyone

Answers

Answer:

no

Step-by-step explanation:

2 is just 2

Find the area. Round to the nearest hundredth if necessary

Answers

kill meStep-by-step explanation:

Answer:

8,667.14

Step-by-step explanation:

1. Multiply 29.1 by 20.4 = 593.64

2. Multiply 593.64 by 14.6 =  8,667.14

6/5 s = −2

solve for (s)

Answers

s equals -5/3, or -1 2/3
Caaaaaaaaaaaajejrbdurbdu

Monica has a rectangular piece of fabric with an area of 3/4 square yard and a length of L yards. Write an algebraic expression to help find the width?

Answers

Anwer

W=3/4L

Step by step explanation:

Monica has a rectangular piece of fabric with an area of 3/4 square yard

the  length is L yards

Required

The expression for the Width of the Fabric

Step two:

we know that the Area is expressed as

Area= L*W

3/4= L*W

cross multiply we have

3=4LW

divide both sides by 4L

W= 3/4L

if two points are in a plane, then the line that contains them is

Answers

Answer:

...then the line containing them lies in the plane. If two planes intersect, then their intersection is a line.

Step-by-step explanation:

For what value of k will the lines x+2y=0, 3x-4y-10=0 and 5x+ky-7=0 are concurrent?​

Answers

Answer:

After solve the equations we get value of k=3

Step-by-step explanation:

We need to find value of k for which the lines x+2y=0, 3x-4y-10=0 and 5x+ky-7=0 are concurrent.

If the lines are concurrent, they pass through same point.

Let:

[tex]x+2y=0--eq(1)\\ 3x-4y-10=0--eq(2)\\ 5x+ky-7=0--eq(3)[/tex]

First solving equation 1 and 2 to find values of x and y

From eq(1) we find value of x and put it in eq(2)

[tex]From \ eq(1) x+2y=0\\x=-2y\\Put x=-2y \ in \ eq(2)\\3x-4y-10=0\\3(-2y)-4y-10=0 \\-6y-4y=10\\-10y=10\\y=\frac{10}{-10}\\y=-1[/tex]

After solving we get value of y=-1

Now putting in eq(1) to get value of x

[tex]x+2y=0\\x+2(-1)=0\\x-2=0\\x=2[/tex]

So, Value of x= 2

Now put value of x=2 and y=-1 into eq(3) to find value of k

[tex]5x+ky-7=0\\5(2)+k(-1)-7=0\\10-k-7=0\\-k+3=0\\-k=-3\\k=3[/tex]

So, After solve the equations we get value of k=3

50 points.........

A dolphin jumps from the water with an initial velocity of 44 feet per second at an elevation angle of 60°. Which parametric equations model the dolphin’s path through the air?

x(t) = sin(60°)t + 44 and y(t) = –16t2 + cos(60°)t + 44
x(t) = cos(60°)t + 44 and y(t) = –16t2 + sin(60°)t + 44
x(t) = 44sin(60°)t and y(t) = –16t2 + 44cos(60°)t
x(t) = 44cos(60°)t and y(t) = –16t2 + 44sin(60°)t

Answers

Answer:

B

Step-by-step explanation:

D.   x(t) = 44cos(60°)t and y(t) = –16t2 + 44sin(60°)t

For your question: A dolphin jumps from the water with an initial velocity of 44 feet per second at an elevation angle of 60°. Which parametric equations model the dolphin’s path through the air?

After doing the math in my notebook, I got the answer D.

Please let me know if you have any other questions down below.

Could I get some help it’s important

Answers

Answer: yo plug it into desmos its ez

Step-by-step explanation:

Answer:

plot a point at (0,-7) and plot a point at (1, -4). Draw a line through those points.

Step-by-step explanation:

The equation tells you that your y intercept will be negative 7. The 3x means that your slope will be equal to up 3, and over 1 (or 3/1, which is equal to 3.)

The sum of two numbers is 22 their difference is 4

Answers

Answer:

x=13

Step-by-step explanation:

ok so let x+y=22

--------------------------------------------------------

x and y are the 2 unkown Number

-------------------------------------------

x-y=4

their difference is 4

----------------------------------

add both equations

(x+y=22)

+(x-y=4)

------------------------------

y's cancel out

-----------------------

2x=26

-----------------

x=13

Sum: 13+9=22
Difference: 13-9=4

x-y=4
x=4+y

x+y=22
4+y+y=22
4+2y=22
2y=18
y=9

x+y=22
x+9=22
x=13

A fast food restaurant sells milkshake in a container composed of a cylinder with a radius of 2 inches and a height of 3 inches surmounted by a hemispherical top of a radius 2 inches.

a.) Compute the volume of milkshake that it contains

b.) Compute the surface area of the container

Answers

Answer:

Below in bold.

Step-by-step explanation:

(a) Volume = volume of the cylinder + volume of hemisphere

= pi r^2 h + 1/2 * 4/3 pi r^3

= pi 2^2 3 + 2/3 pi 2^3

= 12pi + 16pi/3

= 52pi/3

= 52pi/3 in^3

= 54.45 in^3 to nearest hundredth.

(b) Surface area  = area of base + area of curved part + area of the hemisphere

= pi 2^2 + 3 * 2pi 2 + 2 pi 2^2

=  4pi + 8 pi + 12pi

= 24pi in^2

= 75.40 to nearest hundredth.

How do you Estimate the Product of Decimals and Whole
Numbers
Estimate each product. You can round to the greatest position or
use compatible numbers. Show how you estimated.

Answers

Answer:

1) 8.5

2) 60

3) 69.3

4) 6.8

5) 3.6

6) 10.5

Step-by-step explanation:

Take out the decimal of the estimated factors and multiply. Count how far to left the decimal is in the factors. In the product, put the decimal as many to the left as it was in the factors. (ex. 6.93 x 42, 6.93 rounds to 6.9, 42 rounds to 40, 69 x 40 = 2,760, move the decimal over one for correct place value,            6.9 x 40 = 276.0 or 276)

3 6/12 +4 1/2 tell me what it is

Answers

Answer:

8

Step-by-step explanation:

3 + 4 = 7

6/12 + 1/2 = 1

7+1 = 8

the picture is below

Answers

Answer:

b, c, e

Step-by-step explanation:

B,C then E.......................

8. If a runner’s power is 400 W as she runs, how much chemical energy does she convert into other forms in 10.0 minutes? E = P X t

Answers

Answer:

2400kJ

Step-by-step explanation:

Step one:

given data

power P= 400W

time = 10minutes

to seconds= 60*10 = 600 seconds

Required

the energy

Step two:

we know that Energy= power * time

E=P*t

E=400*600

E=240000

E=2400kJ

She converts 2400kJ into other forms

what is an integer to describe 25 degrees fahrenheit below zero brainly

Answers

Answer:

-25

Step-by-step explanation:

25 degrees below zero indicates that we are working with a negative number, so it's -25

~theLocoCoco

Answer:

The answer is -25 for sure

Step-by-step explanation:

nature of roots of 4x²-4x-19=0​

Answers

Answer:

The roots are real.

Step-by-step explanation:

Given quadratic equation to us is 4x² -4x -19 = 0.

With respect to Standard form ax² +bx +c = 0 , Discriminant of the quadratic equation is given by b² - 4ac . Here's a table for Nature of Roots .

[tex]\boxed{\begin{array}{|r|r|r|} \underline{\red{\bf S.no.}} & \underline{\red{\bf Condition }} & \underline{\red{\bf Nature \ of \ Roots }} \\\\ \sf 1 & \sf Discriminant > 0 & \sf Real \:Roots \\\\ \sf 2 &\sf Discriminant = 0 &\sf Equal \:Roots \\\\ \sf 3 & \sf Discriminant < 0 &\sf Complex \: Roots \end{array} }[/tex]

Hence here , wrt Standard form ,

• a = 4 , • b = -4 & •c = -19 .

[tex]\implies Discriminant = b^2-4ac \\\\\implies Discriminant = (-4)^2-4(4)(-19) \\\\\implies Discriminant = 16+304 \\\\\boxed{\red{\bf \implies Discriminant = 320 }}[/tex]

Hence since Discriminant is Greater than 0 , hence the nature of roots of the quadratic equation is real.

PLEASE HELP FAST Two identical buildings are 38.7 m apart. From her balcony, Kudo notices that the angle of the elevation to the top of the adjacent is 52 The angle of the depression to the base of the building is 21 find the height of the building to the nearest hundredth of a metre check the picture

Answers

Answer: 41.3m

Step-by-step explanation: Hope this helps

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